{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 11\n",
    "\n",
    "# 一次、二次、三次函数\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "488fcfde-3dd3-4ab5-94e8-58fa8247c7b5",
   "metadata": {},
   "source": [
    "这段代码使用自定义的 `plot_curve` 函数绘制了不同类型的多项式函数曲线，包括线性函数、二次函数和三次函数。每个函数的形式如下：\n",
    "\n",
    "1. **线性函数**：绘制了两条直线：$$y = x + 1$$和$$y = -x + 1$$，分别表示正斜率和负斜率的直线。这些直线具有一次项，图像为直线。\n",
    "  \n",
    "2. **二次函数**：绘制了两条抛物线：$$y = x^2 - 2$$（开口向上）和$$y = -x^2 + 2$$（开口向下）。这些曲线展示了二次项的效果，曲线形状为抛物线，开口方向取决于二次项的系数符号。\n",
    "\n",
    "3. **三次函数**：绘制了两个三次函数曲线：$$y = x^3 - x$$和$$y = -x^3 + x$$，显示出三次项对曲线形状的影响。三次项的正负影响曲线的走向和形状，使其呈现出“S”形或倒“S”形。\n",
    "\n",
    "函数 `plot_curve` 对这些曲线进行图形设置，包括添加坐标轴标签、网格线、去除边框等，使得每种函数的图像在不同的坐标系中清晰呈现。代码在等比例坐标系下展示了不同类型的多项式函数曲线，直观体现了线性、二次和三次项对曲线形状的不同影响。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4b947e9-535b-49bd-8593-c13ea3acea64",
   "metadata": {},
   "source": [
    "## 导入库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ec526fb6-e9e5-4218-954e-6d5dc11227fc",
   "metadata": {},
   "outputs": [],
   "source": [
    "import math  # 导入math库，用于数学运算\n",
    "import numpy as np  # 导入numpy库，用于数值计算\n",
    "from matplotlib import pyplot as plt  # 导入matplotlib库，用于绘图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3f4f99f-38bb-49c3-b494-972e8fd6b563",
   "metadata": {},
   "source": [
    "## 定义x的范围"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ef3fc7f1-d333-4f66-b1b5-eff82f797f60",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(-2, 2, 100)  # 生成x轴的取值范围"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a803e186-4881-43fd-9296-97dde390d5e5",
   "metadata": {},
   "outputs": [],
   "source": [
    "## 定义绘制函数图像的函数\n",
    "def plot_curve(x, y, xlim, ylim):  # 定义绘制曲线的函数\n",
    "    fig, ax = plt.subplots()  # 创建图形对象和坐标轴对象\n",
    "\n",
    "    plt.xlabel(r\"$\\it{x}$\")  # 设置x轴标签\n",
    "    plt.ylabel(r\"$\\it{f}(\\it{x})$\")  # 设置y轴标签\n",
    "    plt.plot(x, y, linewidth=1.5)  # 绘制函数曲线\n",
    "    plt.axhline(y=0, color='k', linewidth=1.5)  # 添加y轴\n",
    "    plt.axvline(x=0, color='k', linewidth=1.5)  # 添加x轴\n",
    "    ax.grid(linestyle='--', linewidth=0.25, color=[0.5, 0.5, 0.5])  # 添加网格线\n",
    "    plt.axis('equal')  # 设置坐标比例\n",
    "    plt.xticks(np.arange(-2, 2.5, step=0.5))  # 设置x轴刻度\n",
    "    plt.yticks(np.arange(y.min(), y.max() + 0.5, step=0.5))  # 设置y轴刻度\n",
    "    ax.set_xlim(xlim)  # 设置x轴范围\n",
    "    ax.set_ylim(ylim)  # 设置y轴范围\n",
    "    ax.spines['top'].set_visible(False)  # 隐藏顶部边框\n",
    "    ax.spines['right'].set_visible(False)  # 隐藏右侧边框\n",
    "    ax.spines['bottom'].set_visible(False)  # 隐藏底部边框\n",
    "    ax.spines['left'].set_visible(False)  # 隐藏左侧边框\n",
    "    ax.set_aspect('equal', 'box') # 设置坐标轴为正方形"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ac20fa50-86f9-4579-95e2-a2133f1f34b1",
   "metadata": {},
   "source": [
    "## 绘制线性、二次、三次函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6d20d3aa-5621-43cd-abcf-f3479bf2f9a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 线性函数 y = x + 1\n",
    "y = x + 1\n",
    "plot_curve(x, y, (-2,2), (-1,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "822e1585-72c6-4169-a0b0-cba7178c76f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 线性函数 y = -x + 1\n",
    "y = -x + 1\n",
    "plot_curve(x, y, (-2,2), (-1,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0f00de70-d7e9-45df-bc69-2284ca63e201",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 二次函数，开口向上 y = x^2 - 2\n",
    "y = x**2 - 2\n",
    "plot_curve(x, y, (-2,2), (-2,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "beba80d7-0524-4766-a206-b9d5b1d11fe6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 二次函数，开口向下 y = -x^2 + 2\n",
    "y = -x**2 + 2\n",
    "plot_curve(x, y, (-2,2), (-2,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3a162e79-b7cb-4169-91e2-30933502227a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 三次函数 y = x^3 - x\n",
    "y = x**3 - x\n",
    "plot_curve(x, y, (-2,2), (-2,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "54961487-fa4a-426b-9352-5fd002bd3b23",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 三次函数 y = -x^3 + x\n",
    "y = -x**3 + x\n",
    "plot_curve(x, y, (-2,2), (-2,2))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
